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Finding the Fourth Proportional to 70,345, 105,517.50 and 21,097

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Solution

The fourth proportional to 70,345, 105,517.50 and 21,097 is: 31,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,345 : 105,517.50 = 21,097 : x
  2. Step 2: Convert to fraction form
    70,345/105,517.50 = 21,097/x
  3. Step 3: Cross multiply
    70,345x = 105,517.50 × 21,097
  4. Step 4: Simplify right side
    70,345x = 2,226,102,697.50
  5. Step 5: Solve for x
    x = 2,226,102,697.50/70,345
  6. Step 6: Final answer
    x = 31,645.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.